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Finding the Fourth Proportional to 57,787.80, 86,489.70 and 41,947.80

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Solution

The fourth proportional to 57,787.80, 86,489.70 and 41,947.80 is: 62,782.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,787.80 : 86,489.70 = 41,947.80 : x
  2. Step 2: Convert to fraction form
    57,787.80/86,489.70 = 41,947.80/x
  3. Step 3: Cross multiply
    57,787.80x = 86,489.70 × 41,947.80
  4. Step 4: Simplify right side
    57,787.80x = 3,628,052,637.66
  5. Step 5: Solve for x
    x = 3,628,052,637.66/57,787.80
  6. Step 6: Final answer
    x = 62,782.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.